105452532675 has 72 divisors (see below), whose sum is σ = 225244940544. Its totient is φ = 46110905280.

The previous prime is 105452532667. The next prime is 105452532701. The reversal of 105452532675 is 576235254501.

It is a happy number.

105452532675 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 52 + 532 + 67 + 5 = 666.

It is not a de Polignac number, because 105452532675 - 2³ = 105452532667 is a prime.

It is a super-2 number, since 2×105452532675² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 105452532675.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1419297 + ... + 1491746.

It is an arithmetic number, because the mean of its divisors is an integer number (3128401952).

Almost surely, 2^105452532675 is an apocalyptic number.

105452532675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105452532675 is an abundant number, since it is smaller than the sum of its proper divisors (119792407869).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105452532675 is a wasteful number, since it uses less digits than its factorization.

105452532675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911089 (or 2911081 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 105452532675 in words is "one hundred five billion, four hundred fifty-two million, five hundred thirty-two thousand, six hundred seventy-five".